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Search: id:A125606
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A125606 Row sums of A125605. +0
2
1, 2, 4, 8, 12, 18, 32, 40, 48, 58, 80, 92, 182, 292, 488, 686, 1056, 1702, 3384, 6306, 6312, 11208, 15396, 25438, 50724, 76456, 120836, 183926, 367712, 283100, 241562, 458512, 295752, 359288, 552162, 980830, 1605822, 2364730, 1862174, 3342496 (list; graph; listen)
OFFSET

0,2

COMMENT

Conjectures: a(n) acts like u^n, where u = 2 zeta(3) / zeta(2). In increasing order of strength: (1) lim_{n->infinity} a(n)^(1/n) = u; (2) lim_{n->infinity} a(n+1)/a(n) = u; (3) a(n) = c u^n + o(u^n) for some c. (Conjectures 2 and 3 are very speculative.)

CROSSREFS

Cf. A125605, A000079.

Sequence in context: A074633 A006500 A134181 this_sequence A136184 A011908 A117455

Adjacent sequences: A125603 A125604 A125605 this_sequence A125607 A125608 A125609

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 27 2006

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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